Finding the Third Proportional to 584,504 and 1,257,783

Step by Step Solution

1. Step 1: Write the proportion equation
   584,504 : 1,257,783 = 1,257,783 : x
2. Step 2: Convert to fraction form
   584,504/1,257,783 = 1,257,783/x
3. Step 3: Cross multiply
   584,504x = 1,257,783 × 1,257,783
4. Step 4: Simplify right side
   584,504x = 1,582,018,075,089
5. Step 5: Solve for x
   x = 1,582,018,075,089/584,504
6. Step 6: Final answer
   x = 2,706,599.23